Transformations as functions on points
- Finding the rule from ten dots — 3 tasks
- What makes a rule a function — 3 tasks
- Which points the rule has to move — 6 tasks
- Which point the prime belongs to — 3 tasks
- Going Deeper — 7 tasks
- Practice — 23 tasks
- Summary — 2 tasks
- Cool-down — 3 tasks
Classroom activities
Things a class does rather than writes on. Each one is a finished PDF: print it, cut it up if it says so, and hand it round.
-
Transformations as Functions — Cut & Glue Sort 25 minutes, including the cutting · 5 sheets
12 rules on points and records of rules, sorted into a transformation, not a transformation and cannot tell — where sending every point to one point is a transformation, a rule for a triangle's points alone is not, and a record of a few points can never prove a rule works.
-
Transformations as Functions — Answer Maze 10–15 minutes · 4 sheets
One page and nothing to prepare: 8 boxes about rules on points — the image of a point on no figure, the preimage of P″, a point that goes to itself — where the wrong answer is the belief that a transformation only happens to what is drawn, and leads to a box that sends you back.
-
Transformations as Functions — Mystery Picture 20–30 minutes · 4 sheets
25 records of arrows from inputs to outputs, and no numbers: fill the square where one input has two arrows leaving it, and leave it white where the arrows only meet — a function may send two inputs to one output.